Generalized Quasi-Variational-Like Inequality Problem

Generalized Quasi-Variational-Like Inequality Problem

On Generalized Vector Variational-Like Inequality Problem

In this paper, we introduce the concepts of relaxed M-η-αP -pseudomonotonicity and relaxed M-η-α-P -pseudomonoton icity-type mappings. Using the KKM techniques, we obtain the existence of solutions for generalized vector variationallike inequalities with relaxed M-η-α-P -pseudomonotone-type mappings in reflexive Banach spaces. The results presented in this paper generalize, unify and improve a ...

A Quasi-variational Inequality Problem in Superconductivity

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...

On generalized nonlinear variational-like inequality problems

In this work, we consider a generalized nonlinear variational-like inequality problem in the setting of locally convex topological vector spaces and prove the existence of its solutions. © 2005 Published by Elsevier Ltd MSC: 49J40; 47H19; 47H10

Generalized Multivalued Nonlinear Quasi - Variational like Inclusions

In this paper, we suggest and analyze a class of iterative schemes for solving generalized multivalued nonlinear quasi-variational like inclusion problems using the concept of η-subdifferential and η-proximal mappings of a proper functional on Hilbert spaces. A detailed convergence analysis of our method is also included.